argie and her sister wanted to purchase a bag of popcorn for movie night. They compared the prices and sizes of four bags of popcorn.
Pop-A-Lot Pop Kornz Pop-arazzi Kernels Popcorn
Size 9 ounces 5 ounces 15 ounces 7 ounces
Cost $4.32 $3.00 $8.25 $3.22
Part A: Calculate the corresponding unit rate for each package. (2 points)
Part B: Interpret what the unit rates found in Part A represent. (1 point)
Part C: Choose which package is the best buy. (1 point)
Part A: The corresponding unit rates for each package are as follows:
- Pop-A-Lot: $0.48 per ounce ($4.32 / 9 ounces)
- Pop Kornz: $0.60 per ounce ($3.00 / 5 ounces)
- Pop-arazzi: $0.55 per ounce ($8.25 / 15 ounces)
- Kernels Popcorn: $0.46 per ounce ($3.22 / 7 ounces)
Part B: The unit rates found in Part A represent the cost per ounce of each package of popcorn. It shows how much you would have to pay for each ounce of popcorn in each respective package.
Part C: The package with the best buy would be the one with the lowest unit rate. In this case, the best buy would be Kernels Popcorn since it has the lowest unit rate of $0.46 per ounce.
Part A: To calculate the corresponding unit rate for each package, divide the cost by the size for each bag of popcorn:
Pop-A-Lot: $4.32 / 9 ounces = $0.48 per ounce
Pop Kornz: $3.00 / 5 ounces = $0.60 per ounce
Pop-arazzi: $8.25 / 15 ounces = $0.55 per ounce
Kernels Popcorn: $3.22 / 7 ounces = $0.46 per ounce
Part B: The unit rates found in Part A represent the cost per ounce of popcorn for each package. This allows you to compare the prices and determine which package is more cost-effective.
Part C: To choose which package is the best buy, we compare the unit rates. The package with the lowest unit rate would be the best buy, as it offers the lowest price per ounce. In this case, Kernels Popcorn has the lowest unit rate of $0.46 per ounce, so it is the best buy.